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Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultra-high mobilities up to room temperature, we present a theoretical study of dc transport in doped graphene in the hydrodynamic regime. By using the…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 Iacopo Torre , Andrea Tomadin , Andre K. Geim , Marco Polini

In this paper I report a pedagogical derivation of the unconventional electronic hydrodynamics in graphene on the basis of the kinetic theory. While formally valid in the weak coupling limit, this approach allows one to derive the…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Boris N. Narozhny

The concept of fluidic viscosity is ubiquitous in our everyday life and for it to arise the fluidic medium must necessarily form a continuum where macroscopic properties can emerge. While a powerful concept for tangible liquids,…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Sujatha Vijayakrishnan , Z. Berkson-Korenberg , J. Mainville , L. W. Engel , M. P. Lilly , K. W. West , L. N. Pfeiffer , G. Gervais

Experimental investigation of hydrodynamics in electron fluids is a highly topical research area that emerged during the last few years. A recent measurement of the optical conductivity in graphene [P. Gallagher et.al, Science 364, 158…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 B. N. Narozhny

We develop a hydrodynamic description of transport properties in graphene-based systems which we derive from the quantum kinetic equation. In the interaction-dominated regime, the collinear scattering singularity in the collision integral…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 B. N. Narozhny , I. V. Gornyi , M. Titov , M. Schütt , A. D. Mirlin

We consider the hydrodynamic flow of an electron fluid in a channel formed in a two-dimensional electron gas (2DEG) with no-slip boundary conditions. To generate vorticity in the fluid the flow is influenced by an array of micromagnets on…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Jack N. Engdahl , Aydın Cem Keser , Thomas Schmidt , Oleg P. Sushkov

In metallic samples of small enough size and sufficiently strong momentum-conserving scattering, the viscosity of the electron gas can become the dominant process governing transport. In this regime, momentum is a long-lived quantity whose…

Strongly Correlated Electrons · Physics 2017-06-07 Thomas Scaffidi , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie , Joel E. Moore

Collective behavior is one of the most intriguing aspects of the hydrodynamic approach to electronic transport. Here we provide a consistent, unified calculation of the dispersion relations of the hydrodynamic collective modes in graphene.…

Mesoscale and Nanoscale Physics · Physics 2021-03-22 B. N. Narozhny , I. V. Gornyi , M. Titov

Rejuvenation of hydrodynamic transport in solids provides a new window to study collective motion of electrons, where electrons behave like a viscous fluid akin to classical liquids. Experimental observations of such exotic states have not…

Quantum Physics · Physics 2022-09-13 Weiwei Chen , W. Zhu

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

Statistical Mechanics · Physics 2016-05-11 Steven E. Strong , Joel D. Eaves

We consider a hydrodynamic description of transport for generic two dimensional electron systems that lack Galilean invariance and do not fall into the category of Fermi liquids. We study magnetoresistance and show that it is governed only…

Strongly Correlated Electrons · Physics 2017-11-13 Aavishkar A. Patel , Richard A. Davison , Alex Levchenko

Recent observations of non-local transport in ultraclean 2D materials raised the tantalizing possibility of accessing hydrodynamic correlated transport of many-electron state. However, it has been pointed out that non-local transport can…

Strongly Correlated Electrons · Physics 2021-06-30 Aaron Hui , Vadim Oganesyan , Eun-Ah Kim

We argue, for a wide class of systems including graphene, that in the low temperature, high density, large separation and strong screening limits the drag resistivity behaves as d^{-4}, where d is the separation between the two layers. The…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 B Amorim , N M R Peres

Electron-electron interactions in high-mobility conductors can give rise to transport signatures resembling those described by classical hydrodynamics. Using a nanoscale scanning magnetometer, we imaged a distinctive hydrodynamic transport…

Mesoscale and Nanoscale Physics · Physics 2024-08-02 Marius L. Palm , Chaoxin Ding , William S. Huxter , Takashi Taniguchi , Kenji Watanabe , Christian L. Degen

Electron-electron (e-e) collisions can impact transport in a variety of surprising and sometimes counterintuitive ways. Despite strong interest, experiments on the subject proved challenging because of the simultaneous presence of different…

Evidence is accumulating for the crucial role of a solid's free electrons in the dynamics of solid-liquid interfaces. Liquids induce electronic polarization and drive electric currents as they flow; electronic excitations, in turn,…

Mesoscale and Nanoscale Physics · Physics 2023-06-27 Xiaoqing Yu , Alessandro Principi , Klaas-Jan Tielrooij , Mischa Bonn , Nikita Kavokine

Hydrodynamic electrons in high-mobility graphene devices have demonstrated great potential in establishing an electronic analogue of relativistic quantum fluid in solid-state systems. One of the key requirements for observing viscous…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Richa P. Madhogaria , Aniket Majumdar , Nishant Dahma , Pritam Pal , Rishabh Hangal , Kenji Watanabe , Takashi Taniguchi , Arindam Ghosh

In nearly compensated graphene, disorder-assisted electron-phonon scattering or "supercollisions" are responsible for both quasiparticle recombination and energy relaxation. Within the hydrodynamic approach, these processes contribute weak…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 B. N. Narozhny , I. V. Gornyi

We propose a hydrodynamic model describing steady-state and dynamic electron and hole transport properties of graphene structures which accounts for the features of the electron and hole spectra. It is intended for electron-hole plasma in…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 D. Svintsov , V. Vyurkov , S. Yurchenko , T. Otsuji , V. Ryzhii

We show that Coulomb drag in hydrodynamic bilayer systems leads to additional viscosity terms in the hydrodynamic equations, i.e., the drag and drag-Hall viscosities, besides the well-known kinematic and Hall viscosities. These new…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Eddwi H. Hasdeo , Edvin G. Idrisov , Thomas L. Schmidt